Triple integral, doubt

Hi there, I have this iterated integral , and the thing is, does it define a solid? because I think that as it is given it doesn't, but I'm not sure. I think that the cylindric paraboloid never cuts the x axis, and thats why I think this integral doesn't define any solid.

Hi there, I have this iterated integral , and the thing is, does it define a solid? because I think that as it is given it doesn't, but I'm not sure. I think that the cylindric paraboloid never cuts the x axis, and thats why I think this integral doesn't define any solid.

I'm starting to figure it out now. As the concavity is pointing at the x axis I thought it wouldn't cut ever the other integrands, but now I think I'm seeing it, the base would be at the yz plane I think. I'll try again.